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Finding the Fourth Proportional to 11,224.78, 15,491.04 and 6,509.02

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Solution

The fourth proportional to 11,224.78, 15,491.04 and 6,509.02 is: 8,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.78 : 15,491.04 = 6,509.02 : x
  2. Step 2: Convert to fraction form
    11,224.78/15,491.04 = 6,509.02/x
  3. Step 3: Cross multiply
    11,224.78x = 15,491.04 × 6,509.02
  4. Step 4: Simplify right side
    11,224.78x = 100,831,489.18
  5. Step 5: Solve for x
    x = 100,831,489.18/11,224.78
  6. Step 6: Final answer
    x = 8,982.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.